187 699 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
27664087803749862533312550094601	32	104.4	2015-12-02 04:44:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	161 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	31D6D69A	0
Verified (Factored)		Laurent Hodges	2B5C657131D6D69A	0
Verified (Factored)		Brian J. Beesley	2B5C657131D6D69A	0
Verified (Factored)		Eivind Triel	2B5C657131D6D69A	10747

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	198C0ADDFF693B2E	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	198C0ADDFF693B2E	1	136453	1	3
Verified	2020-04-17	Oliver Kruse	8C531B920F6C5E90	1	2775	5	3
Verified	2023-08-24	USAFSS	8C531B920F6C5E90	1	168461	5	3

History

Date	User	Type	Result
2023-08-24	Chuck	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M187699/27664087803749862533312550094601 : 8C531B920F6C5E90 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M187699/27664087803749862533312550094601 : 8C531B920F6C5E90 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M187699/27664087803749862533312550094601 : 198C0ADDFF693B2E PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M187699/27664087803749862533312550094601 : 198C0ADDFF693B2E PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M187699/27664087803749862533312550094601 : 198C0ADDFF693B2E PRP without proof (not generated)
2015-12-02	bam	F-ECM	Factor: 27664087803749862533312550094601 / (ECM curve 1, B1=250000, B2=25000000)
2015-08-25	NR	NF	no factor from 2^61 to 2^62
2013-10-12	lycorn	NF	no factor from 2^60 to 2^61
2013-10-02	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-29	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-23	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59